Physics
Scientific paper
Jan 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phlb...55...84d&link_type=abstract
Physics Letters B, Volume 55, Issue 1, p. 84-86.
Physics
1
Scientific paper
A cosmological model is constructed which is a Friedman model, but with a finite ultimate temperature (TF). A plausible argument is presented which suggests that the existence of TF and the cosmic microwave background restricts the form of the hadronic level density: ?, where A, B = constants. In our model, B = 7/2-3/s, where s = positive integer. The case s = 3 (B = 5/2) is the well-known Hagedorn model; the Frautschi model corresponds to s = 6 (B = 3); the cases s = 1 (B = 1/2) and s = 2 (B = 2) have not been considered before now. For each value of B < 7/2, the model gives the temperature (Tγ0) of the microwave background as a function of A, TF and ϱ0 (the present energy density of the universe). Two fascinating results then emerge: first, all estimates of Tγ0 favor a low density Friedman universe (ϱ0 = 10-31g/cm3), which rules out a universe with positive curvature; second, for ϱ0 = 10-31 gr/cm3 the best estimate of Tγ0 (⊃3K) occurs for the Hagedorn model.
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